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Finding the Fourth Proportional to 409.65, 610.20 and 394.93

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Solution

The fourth proportional to 409.65, 610.20 and 394.93 is: 588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.65 : 610.20 = 394.93 : x
  2. Step 2: Convert to fraction form
    409.65/610.20 = 394.93/x
  3. Step 3: Cross multiply
    409.65x = 610.20 × 394.93
  4. Step 4: Simplify right side
    409.65x = 240,986.29
  5. Step 5: Solve for x
    x = 240,986.29/409.65
  6. Step 6: Final answer
    x = 588.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.